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On the validity of several previously published perturbation formulas for the acoustoelastic effect on Rayleigh waves
1Fraunhofer-Institute for Nondestructive Testing IZFP, Campus E3 1, 66123 Saarbrücken, Germany.
Abstract:
This article revisits the evaluation by a perturbation theory of the modification of the Rayleigh wave velocity under a static loading varying with depth. Two derivations, that have been exposed in the past and presented as comparable, are questioned. A new derivation of the perturbation formula is given by adapting Auld's approach. Validation with exact calculations is provided. The examples cover depth-varying static stress as well as depth-varying third order elastic properties.
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